Existence theorem for nonlinear micropolar elasticity
Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia. email@example.com; firstname.lastname@example.org
Revised: 14 July 2008
In this paper we give an existence theorem for the equilibrium problem for nonlinear micropolar elastic body. We consider the problem in its minimization formulation and apply the direct methods of the calculus of variations. As the main step towards the existence theorem, under some conditions, we prove the equivalence of the sequential weak lower semicontinuity of the total energy and the quasiconvexity, in some variables, of the stored energy function.
Mathematics Subject Classification: 74A35 / 74G25 / 74G65
Key words: Micropolar elasticity / existence theorem / quasiconvexity
© EDP Sciences, SMAI, 2008